The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher volunteers for the committee and 7 intermediate teacher volunteers. Question: How many ways can the principal form a committee of 5 if there must be AT LEAST 3 intermediate teachers on the committee?

Q: A pharmaceutical company recently hired 5 biologists, 3 chemists, 4 environmental scientists, and 3…

A:

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?…

A:

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: From a group of 7 women and 8 men a committee consisting of 4 men and 3 women is to be formed. How…

A: Given, 7 women and 8 men committee size 4 men and 3 women

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

A: Given: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: There are 16 seniors and 20 juniors in a particular social organization. In how many ways can 2…

A:

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: 7 freshmen, 7 sophomores, 6 juniors, and 5 seniors are eligible to be on a committee. In how many…

A:

Q: For the new fall season, a network president has 11 shows in development, and 8 openings in the…

A: The network president has 11 shows in development . There are eight openings in the prime time…

Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: Seven women and nine men are on the faculty in the mathematics department at a school.   1. How…

A:

Q: A company has 10 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: They can choose 2 men from 10 men in 10C2 ways They can choose 2 women from 11 women in 11C2 ways.…

Q: 5 freshmen, 6 sophomores, 5 juniors, and 5 seniors are eligible to be on a committee. In how many…

A: Choosing 3 juniors out of 5 juniors count 5C3 ways.. similarly for choosing 2 seniors out of 5…

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: Out of 5 class representatives and 7 prefects, a committee consisting of 2 class representatives and…

A:

Q: Suppose a class has 25 students and there are 10 males and 15 females. A committee of size 5 is to…

A:

Q: 6 freshmen, 5 sophomores, 6 juniors, and 6 seniors are eligible to be on a committee. In how many…

A:

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that  Total number of volunteers = 20 Number of homeowners = 11 Number of local…

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: On my bookshelf I have 5 books of poetry, 15 graphic novels, 8 biographies and 3 self-help books. I…

A: Solution :-

Q: A committee of 5 is to be chosen from a group of 10 people. How many ways can it be chosen, if Bill…

A: Below the solution

Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216  No need to wear socks and caps So total ways…

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: To fill a number of vacancies, the personnel manager of a company has to choose three secretaries…

A: The number of ways a company has to choose three secretaries from among ten applicants can be done…

Q: In how many ways can 4 CS students and 5 IT students sit in a row if the CS and IT students must…

A:

Q: a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways…

A: Solution;  Total nonof students =10  No of men=6. & No of women=4 a): to choose a committee of 4…

Q: Delegates from 10 countries, including Russia, France, England, and the United States, are to be…

A: Given  10 countries in total  4 of them are Russia, France, England, United States  We need to…

Q: There are 3 vacancies on the scholarship committee at a certain university. In order to balance the…

A: From the provided information, There are 3 vacancies on the scholarship committee at a certain…

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: A committee consists of 5 people Smith,Jones,Clark,Brown and White in how many ways can the members…

A:

Q: At the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people…

A:

Q: How many different possibilities are there for the membership of the working group?

A: Here given A hospital working group of 8, consisting of 3 doctors, 2 nurses and 3 lawyers is to be…

Q: The academic computing committee at a college is in the process of evaluating different computer…

A:

Q: A committee of 6 people is to be chosen from 5 men and 8 women. In how many ways can this be done (1…

A: Solution

Q: If 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: 4 men and 5 women 2 chicken, 4 turkey, 3 vegan

Q: Four married couples have reserved eight seats in a row at the   theater, starting at an aisle seat.…

A: As given above there are four married couples have reserved eight seats in a row. The arrangement of…

Q: A bride is choosing a dress for her bridesmaids. If there are 5 styles, 2 colors, and 7 fabrics, in…

A: There are 5 styles, 2 colors, and 7 fabrics.

Q: A university student is selecting courses for his next semester. He can choose from 6 science…

A:

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: A company has 7 male and 12 female employees, and needs to nominate 2 men and 2 women for the…

A:

Q: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

Q: There are  10  women and  5  men signed up to join a ballroom dance class. In how many ways can…

A:

Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A:

Q: Among the eight nominees for two vacancies on a school board are four men and four women. How many…

A: Solution: It is given that there are 8 nominees for two vacancies on a school board. There are 4…